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master's thesis
Termodinamika i simetrije u okolini horizonata crnih rupa
Zagreb: University of Zagreb, Faculty of Science, 2016. urn:nbn:hr:217:591809
Šoda, Barbara
University of Zagreb
Faculty of Science
Department of Physics

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Šoda, B. (2016). Termodinamika i simetrije u okolini horizonata crnih rupa (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:591809

Šoda, Barbara. "Termodinamika i simetrije u okolini horizonata crnih rupa." Master's thesis, University of Zagreb, Faculty of Science, 2016. https://urn.nsk.hr/urn:nbn:hr:217:591809

Šoda, Barbara. "Termodinamika i simetrije u okolini horizonata crnih rupa." Master's thesis, University of Zagreb, Faculty of Science, 2016. https://urn.nsk.hr/urn:nbn:hr:217:591809

Šoda, B. (2016). 'Termodinamika i simetrije u okolini horizonata crnih rupa', Master's thesis, University of Zagreb, Faculty of Science, accessed 19 April 2024, https://urn.nsk.hr/urn:nbn:hr:217:591809

Šoda B. Termodinamika i simetrije u okolini horizonata crnih rupa [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2016 [cited 2024 April 19] Available at: https://urn.nsk.hr/urn:nbn:hr:217:591809

B. Šoda, "Termodinamika i simetrije u okolini horizonata crnih rupa", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2016. Available at: https://urn.nsk.hr/urn:nbn:hr:217:591809

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Metadata
TitleTermodinamika i simetrije u okolini horizonata crnih rupa
Title (english)Thermodynamics and symmetries in the near-horizon region of black holes
AuthorBarbara Šoda
MentorIvica Smolić (mentor)
Committee memberIvica Smolić (predsjednik povjerenstva)
Committee memberMaro Cvitan (član povjerenstva)
Committee memberNikola Poljak (član povjerenstva)
Committee memberDavor Horvatić (član povjerenstva)
Committee memberVernesa Smolčić (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Physics)
Zagreb
Defense date and country2016-07-19, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Physics
Abstract
U ovom radu pokazali smo dva načina za računanje entropije crnih rupa koristeći tehnike konformalne teorije polja. U prvom je izračunata entropija (2+1)-dimenzionalne crne rupe čije asimptotske simetrije u beskonačnosti zadovoljavaju Virasoro algebru. Zaključili smo da je efektivna kvantna teorija polja za gravitaciju, ako postoji, konformalna. Stoga smo za brojanje stanja za poluklasičnu crnu rupu iskoristili Cardyjevu formulu za entropiju. U drugom računu izračunata je entropija N-dimenzionalne crne rupe s aksijalnom simetrijom. U tom slučaju pronadena je Virasoro algebra u pribli žnim simetrijama u blizini horizonta. Jednakom logikom kao i za (2+1)- dimenzionalni slučaj, upotrijebili smo Cardyjevu formulu. Rezultat dobiven za oba slučaja slaže se sa Bekenstein-Hawkingovom entropijom.
Abstract (english)
We demonstrate two ways of calculating the black hole entropy by using conformal field theory techniques. First we calculate the entropy of a (2+1)- dimensional black hole whose asymptotic symmetries at infinity satisfy the Virasoro algebra. We conclude that, if there is such a theory as an effective quantum field theory for gravity, it should be a conformal one. To count the microstates of the semiclassical black hole we used Cardy’s formula for entropy in conformal field theory at high temperatures. In the second part we calculated the entropy of an N-dimensional axially symmetric black hole. In this case the Virasoro algebra is found for the near-horizon asymptotic symmetries. Following the same line of thought, again we used the Cardy formula to obtain the entropy. In both cases the results are consistent with the Bekenstein-Hawking formula for entropy.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:591809
Study programmeTitle: Physics; specializations in: Research
Course: Research
Study programme type: university
Study level: integrated undergraduate and graduate
Academic / professional title: magistar/magistra fizike (magistar/magistra fizike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
RepositoryRepository of the Faculty of Science
Created on2017-03-05 12:09:33

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